114422224411 has 64 divisors (see below), whose sum is σ = 138046519296. Its totient is φ = 93666304000.

The previous prime is 114422224361. The next prime is 114422224421.

114422224411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 114422224411 - 2³¹ = 112274740763 is a prime.

It is a super-2 number, since 2×114422224411² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 114422224411.

It is not an unprimeable number, because it can be changed into a prime (114422224421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73677411 + ... + 73678963.

It is an arithmetic number, because the mean of its divisors is an integer number (2156976864).

Almost surely, 2^114422224411 is an apocalyptic number.

114422224411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114422224411 is a deficient number, since it is larger than the sum of its proper divisors (23624294885).

114422224411 is a wasteful number, since it uses less digits than its factorization.

114422224411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 114422 and 224411, that added together give a palindrome (338833).

The spelling of 114422224411 in words is "one hundred fourteen billion, four hundred twenty-two million, two hundred twenty-four thousand, four hundred eleven".